Seven men A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of different colour like violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue, but not violet. E can see violet and yellow but not red. G can see caps of all colours other than orange. If E is wearing an indigo coloured cap, then the colour of cap worn by F is

Correct Option (C)

: Red

The problem requires deducing the cap colours for each individual based on their position in the queue and their visibility. The individuals are arranged in the order A, B, C, D, E, F, G.

1. The statement "D is able to see in front of him green and blue, but not violet" implies that D is wearing the violet cap. If D could see violet, someone in front of him (A, B, or C) would be wearing it. Since D cannot see violet, he is wearing it. Consequently, green and blue caps are worn by A, B, or C.

   • Assignment: D = Violet.

2. The statement "G can see caps of all colours other than orange" implies that G is wearing the orange cap. If G could see orange, someone else would be wearing it. Since G cannot see orange, he is wearing it.

   • Assignment: G = Orange.

3. It is explicitly stated that "E is wearing an indigo coloured cap."

   • Assignment: E = Indigo.

4. Now consider the statement "E can see violet and yellow but not red."

   • E is at the fifth position in the queue (A, B, C, D, E, F, G). The individuals in front of E are A, B, C, D.
   • E seeing violet is consistent with D wearing the violet cap.
   • E seeing yellow implies that one of A, B, or C is wearing the yellow cap.
   • E not seeing red means that red is not worn by any of the individuals in front of E (A, B, C, D). Since E himself is wearing indigo, E is not wearing red. The only individuals remaining behind E are F and G. As G is wearing orange, the only remaining person to wear the red cap is F.

Therefore, based on the logical deductions, F is wearing the red cap.

Incorrect Options:

• Blue: Blue is worn by one of the individuals A, B, or C, as D can see blue in front of him.

• Violet: Violet is worn by D, as D cannot see violet in front of him.

• Orange: Orange is worn by G, as G cannot see orange.